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Mechanical Properties Of Fluids

Question
CBSEENPH11019053

What should be the minimum distance between source and reflector to hear the distinct echo of a simple sound?

Solution

The time period of persistence of ear for simple sound =  0.1s.
Therefore, to hear the distinct echo of simple sound, the minimum time taken by the sound to reach the listener after reflection should be 0.1s.
Let d be the distance between source and reflector.
The time taken by sound to reach the listener after reflection = t
Sound will travel the total distance of 2d. 
∴           2d = vt 
rightwards double arrow          d = vt/2 
Now, putting the values,
           v = 340 m/s,    t = 0.1s 
We get,
               d = 17 m 
Therefore minimum distance of reflector from the source should be 17m.